表面に一様に分布した熱源からの供給熱量による中空無限円柱の熱伝導 : 第1報円柱の外面に熱源のある場合

概要

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An infinitely long hollow cylinder, initially at 0℃. throughout, has a heat source distributed uniformly on the outer surface and the heat source generates a constant heat flow S per unit time per unit area of the surface from the time t=0. Then the temperature θ at any point which has a distance γ from the axis of the cylinder at the time t is given by the following eq. : [numerical formula] where a, b=inner, outer radii ; k=Kelvin's diffusivity ; λ=thermal conductivity ; h_1,h_2=emissivities on the inner, outer surfaces ; λ_1'=λ/h_1 ; λ_2'=λ/h_2 ; βn=the n-th positive and real root calculated from the smallest root of the following eq. [numerical formula]
一般社団法人日本機械学会の論文
1952-12-05